A block of mass m sliding on a frictionless table is attached to a string that passes through a narrow hole through the center of the table. The block is sliding with speed v0 in a circle of radius r0. (Use any variable or symbol stated above as necessary.)(a) Find the angular momentum of the block.(b) Find the kinetic energy of the block.(c) Find the tension in the string.(d) A student under the table now slowly pulls the string downward. How much work is required to reduce the radius of the circle from r0 to r0/2?

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Asked Nov 13, 2019
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A block of mass m sliding on a frictionless table is attached to a string that passes through a narrow hole through the center of the table. The block is sliding with speed v0 in a circle of radius r0. (Use any variable or symbol stated above as necessary.)

(a) Find the angular momentum of the block.
(b) Find the kinetic energy of the block.
(c) Find the tension in the string.
(d) A student under the table now slowly pulls the string downward. How much work is required to reduce the radius of the circle from r0 to r0/2?
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Expert Answer

Step 1

(a) Write the expression for angular momentum

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L mvo (mr

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Step 2

(b) Write the expression for kinetic energy of the block.

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1 KE = mv6 1 mr 2 2

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Step 3

(c) Tension provides the necessary centripetal force for the mass to slide ...

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2 ту; Т-

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